Let's look at some of the IBM Cloud services that we can make use of when implementing Serverless applications:

• Serverless computing on AWS:
  IBM Cloud Functions allow you to execute code on demand similar to AWS Lambda.
• Access management:
  IBM Cloud Identity and Access Management (IAM) supports authenticating users for both platform services and controlling access to resources across IBM Cloud.
• Resource provisioning and management:
  The IBM Continuous Delivery service helps you provision an integrated toolchain using customizable, shareable templates with tools from IBM and third parties.
• Simple object store:
  IBM Cloud Object Storage is IBM's object storage solution in the cloud for unstructured data.
• API management:
  IBM API Connect helps in creating and managing APIs.
• Storage tier:
  IBM Cloudant is a distributed NoSQL database that is optimized for handling heavy workloads. IBM Db2 on Cloud is a relational database in IBM Cloud.
• User management:
  The closest corresponding service to Amazon Cognito that we can currently obtain from IBM is IBM Cloud Identity from the IBM Cloud marketplace. 
• Domain hosting and DNS management:
  IBM Domain Name Services provides simple domain registration and DNS management. 
• Content Delivery Network:
  IBM Content Delivery Network caches content in various locations for faster retrieval using the Akamai network.
• Queue service:
  IBM MQ on Cloud is one of the queue service that IBM Cloud supports. IBM cloud also supports RabbitMQ as a managed service.
• Notification service:
  The IBM Push Notifications service allows you to send real-time notifications to mobile and web applications.
• Managing events and streams:
  The IBM Streaming Analytics service can be used to analyze streaming data from different sources and types.
• Machine learning/AI service:
  There is no service that directly corresponds with Amazon ML within IBM. However, we can use IBM Watson within IBM Cloud for artificial intelligence (AI). IBM Watson is IBM's popular deep learning AI platform.
• Monitoring:
  IBM Cloud Event Management helps in identifying, notifying, and resolving critical incidents more quickly. IBM Cloud Availability Monitoring is integrated to the DevOps toolchain, and runs tests from locations around the world to proactively detect and fix performance issues. IBM Cloud also supports monitoring with Sysdig as a managed service. Sysdig allow you to monitor containers across their entire life cycle. 
• Data warehouse management:
  IBM Db2 Warehouse on Cloud is an elastic data warehouse in the cloud that is built for analytics use cases.
• Data integration/data pipeline:
  The IBM Message Hub Object Storage bridge can be used to build end-to-end IoT data pipelines in IBM Cloud.